Philip Beecroft

“ If three circles be inscribed within another given one so as mutually to touch it and each other, the reciprocal of the radius of the circle passing through their points of contact, is equal to half the sum of the reciprocals of the radii of the four circles mutually touching each other. ”

“ Mr. Beecroft's paper on Infinite Series will be inserted in our next. ↑ The square of gives the same result as the square of , but the former expression is the correct one, for each of the quantities , , , is evidently greater than . ”